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Q.

[5]

Brakes applied to a car produce uniform retardation of 0.9 m/s2. If the car was travelling with a velocity of 27 m/s, what distance will it cover before coming to rest?


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a

405 m

b

406 m

c

408 m

d

None  

answer is A.

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Detailed Solution

The distance covered before coming to rest is 405 m.
Given that,
Uniform retardation a = - 0.9 m/s2
Initial velocity, u = 27 m/s
Final velocity, v = 0 m/s
Distance covered, s is unknown
We know the equation,
 v2- u2=2as
To find out the distance covered, substitute the values in the equation.
 v2- u2=2as
⇒ 0 – (27)2 = 2 × (-0.9) × s
Distance covered s = 405 m
 
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